Mathematical Research Letters

Volume 6 (1999)

Number 2

Canonical Bases for Hecke Algebra Quotients

Pages: 213 – 222



R. M. Green (Lancaster University)

J. Losonczy (Long Island University)


We establish the existence of an IC basis for the generalized Temperley–Lieb algebra associated to a Coxeter system of arbitrary type. We determine this basis explicitly in the case where the Coxeter system is simply laced and the algebra is finite dimensional.

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